Final answer:
The total momentum of the system after the collision, according to the law of conservation of momentum, is 9 kg⋅m/s in the north direction. This is found by summing the momentum of each object, considering one northward and the other southward.
Step-by-step explanation:
The question is asking about the conservation of momentum during a collision between two objects. According to the law of conservation of momentum, the total momentum before the collision must be equal to the total momentum after the collision, provided that there are no external forces acting on the system.
In the scenario provided, the first object has a mass of 66 kg and is traveling at 1.5 m/s north, while the second object has a mass of 75 kg and is traveling at 1.2 m/s south. To find the total momentum after they collide, we use the formula for momentum, which is p = m × v, where p is momentum, m is mass, and v is velocity. The total momentum is calculated by adding the momentum of each object, taking into account their directions (north is considered positive and south negative in this context).
For object 1: p1 = 66 kg × 1.5 m/s = 99 kg⋅m/s (north)
For object 2: p2 = 75 kg × -1.2 m/s = -90 kg⋅m/s (south)
Adding the momentum of both objects: 99 kg⋅m/s + (-90 kg⋅m/s) = 9 kg⋅m/s (north). This is the total momentum of the system after the collision.